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Finding the Fourth Proportional to 162,102.70, 243,048.45 and 145,513.90

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Solution

The fourth proportional to 162,102.70, 243,048.45 and 145,513.90 is: 218,176.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,102.70 : 243,048.45 = 145,513.90 : x
  2. Step 2: Convert to fraction form
    162,102.70/243,048.45 = 145,513.90/x
  3. Step 3: Cross multiply
    162,102.70x = 243,048.45 × 145,513.90
  4. Step 4: Simplify right side
    162,102.70x = 35,366,927,848.46
  5. Step 5: Solve for x
    x = 35,366,927,848.46/162,102.70
  6. Step 6: Final answer
    x = 218,176.06

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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.