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Finding the Fourth Proportional to 74,320, 102,574.56 and 42,490.24

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Solution

The fourth proportional to 74,320, 102,574.56 and 42,490.24 is: 58,643.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,320 : 102,574.56 = 42,490.24 : x
  2. Step 2: Convert to fraction form
    74,320/102,574.56 = 42,490.24/x
  3. Step 3: Cross multiply
    74,320x = 102,574.56 × 42,490.24
  4. Step 4: Simplify right side
    74,320x = 4,358,417,672.29
  5. Step 5: Solve for x
    x = 4,358,417,672.29/74,320
  6. Step 6: Final answer
    x = 58,643.94

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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.