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Finding the Fourth Proportional to 102,001.45, 153,002.18 and 78,673.45

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Solution

The fourth proportional to 102,001.45, 153,002.18 and 78,673.45 is: 118,010.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,001.45 : 153,002.18 = 78,673.45 : x
  2. Step 2: Convert to fraction form
    102,001.45/153,002.18 = 78,673.45/x
  3. Step 3: Cross multiply
    102,001.45x = 153,002.18 × 78,673.45
  4. Step 4: Simplify right side
    102,001.45x = 12,037,209,358.12
  5. Step 5: Solve for x
    x = 12,037,209,358.12/102,001.45
  6. Step 6: Final answer
    x = 118,010.18

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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.