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Finding the Fourth Proportional to 101,871.54, 152,866.80 and 42,702.12

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Solution

The fourth proportional to 101,871.54, 152,866.80 and 42,702.12 is: 64,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,871.54 : 152,866.80 = 42,702.12 : x
  2. Step 2: Convert to fraction form
    101,871.54/152,866.80 = 42,702.12/x
  3. Step 3: Cross multiply
    101,871.54x = 152,866.80 × 42,702.12
  4. Step 4: Simplify right side
    101,871.54x = 6,527,736,437.62
  5. Step 5: Solve for x
    x = 6,527,736,437.62/101,871.54
  6. Step 6: Final answer
    x = 64,078.12

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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.