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Finding the Fourth Proportional to 475,114, 712,740.48 and 138,110.86

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Solution

The fourth proportional to 475,114, 712,740.48 and 138,110.86 is: 207,186.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,114 : 712,740.48 = 138,110.86 : x
  2. Step 2: Convert to fraction form
    475,114/712,740.48 = 138,110.86/x
  3. Step 3: Cross multiply
    475,114x = 712,740.48 × 138,110.86
  4. Step 4: Simplify right side
    475,114x = 98,437,200,649.61
  5. Step 5: Solve for x
    x = 98,437,200,649.61/475,114
  6. Step 6: Final answer
    x = 207,186.49

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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.