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Finding the Fourth Proportional to 100,748, 151,121.10 and 37,565.98

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Solution

The fourth proportional to 100,748, 151,121.10 and 37,565.98 is: 56,348.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,748 : 151,121.10 = 37,565.98 : x
  2. Step 2: Convert to fraction form
    100,748/151,121.10 = 37,565.98/x
  3. Step 3: Cross multiply
    100,748x = 151,121.10 × 37,565.98
  4. Step 4: Simplify right side
    100,748x = 5,677,012,220.18
  5. Step 5: Solve for x
    x = 5,677,012,220.18/100,748
  6. Step 6: Final answer
    x = 56,348.63

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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.