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Finding the Fourth Proportional to 106,700.68, 146,821.98 and 103,454.20

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Solution

The fourth proportional to 106,700.68, 146,821.98 and 103,454.20 is: 142,354.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,700.68 : 146,821.98 = 103,454.20 : x
  2. Step 2: Convert to fraction form
    106,700.68/146,821.98 = 103,454.20/x
  3. Step 3: Cross multiply
    106,700.68x = 146,821.98 × 103,454.20
  4. Step 4: Simplify right side
    106,700.68x = 15,189,350,483.32
  5. Step 5: Solve for x
    x = 15,189,350,483.32/106,700.68
  6. Step 6: Final answer
    x = 142,354.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.