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Finding the Fourth Proportional to 101,430.48, 152,162.10 and 42,272.10

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Solution

The fourth proportional to 101,430.48, 152,162.10 and 42,272.10 is: 63,414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,430.48 : 152,162.10 = 42,272.10 : x
  2. Step 2: Convert to fraction form
    101,430.48/152,162.10 = 42,272.10/x
  3. Step 3: Cross multiply
    101,430.48x = 152,162.10 × 42,272.10
  4. Step 4: Simplify right side
    101,430.48x = 6,432,211,507.41
  5. Step 5: Solve for x
    x = 6,432,211,507.41/101,430.48
  6. Step 6: Final answer
    x = 63,414.98

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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.