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Finding the Fourth Proportional to 102,356.38, 153,430.55 and 42,417.46

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Solution

The fourth proportional to 102,356.38, 153,430.55 and 42,417.46 is: 63,583.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,356.38 : 153,430.55 = 42,417.46 : x
  2. Step 2: Convert to fraction form
    102,356.38/153,430.55 = 42,417.46/x
  3. Step 3: Cross multiply
    102,356.38x = 153,430.55 × 42,417.46
  4. Step 4: Simplify right side
    102,356.38x = 6,508,134,217.40
  5. Step 5: Solve for x
    x = 6,508,134,217.40/102,356.38
  6. Step 6: Final answer
    x = 63,583.08

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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.