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Finding the Fourth Proportional to 78,327,001.35, 117,490,502.03 and 78,327,001.35

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Solution

The fourth proportional to 78,327,001.35, 117,490,502.03 and 78,327,001.35 is: 117,490,502.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,327,001.35 : 117,490,502.03 = 78,327,001.35 : x
  2. Step 2: Convert to fraction form
    78,327,001.35/117,490,502.03 = 78,327,001.35/x
  3. Step 3: Cross multiply
    78,327,001.35x = 117,490,502.03 × 78,327,001.35
  4. Step 4: Simplify right side
    78,327,001.35x = 9,202,678,710,724,352
  5. Step 5: Solve for x
    x = 9,202,678,710,724,352/78,327,001.35
  6. Step 6: Final answer
    x = 117,490,502.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.