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Finding the Fourth Proportional to 101,430.64, 152,159.80 and 42,252.47

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Solution

The fourth proportional to 101,430.64, 152,159.80 and 42,252.47 is: 63,384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,430.64 : 152,159.80 = 42,252.47 : x
  2. Step 2: Convert to fraction form
    101,430.64/152,159.80 = 42,252.47/x
  3. Step 3: Cross multiply
    101,430.64x = 152,159.80 × 42,252.47
  4. Step 4: Simplify right side
    101,430.64x = 6,429,127,168.10
  5. Step 5: Solve for x
    x = 6,429,127,168.10/101,430.64
  6. Step 6: Final answer
    x = 63,384.47

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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.