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Finding the Fourth Proportional to 70,748, 97,632.24 and 40,940

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Solution

The fourth proportional to 70,748, 97,632.24 and 40,940 is: 56,497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,748 : 97,632.24 = 40,940 : x
  2. Step 2: Convert to fraction form
    70,748/97,632.24 = 40,940/x
  3. Step 3: Cross multiply
    70,748x = 97,632.24 × 40,940
  4. Step 4: Simplify right side
    70,748x = 3,997,063,905.60
  5. Step 5: Solve for x
    x = 3,997,063,905.60/70,748
  6. Step 6: Final answer
    x = 56,497.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.