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Finding the Fourth Proportional to 117,242.76, 161,850.80 and 78,547.22

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Solution

The fourth proportional to 117,242.76, 161,850.80 and 78,547.22 is: 108,432.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,242.76 : 161,850.80 = 78,547.22 : x
  2. Step 2: Convert to fraction form
    117,242.76/161,850.80 = 78,547.22/x
  3. Step 3: Cross multiply
    117,242.76x = 161,850.80 × 78,547.22
  4. Step 4: Simplify right side
    117,242.76x = 12,712,929,192.79
  5. Step 5: Solve for x
    x = 12,712,929,192.79/117,242.76
  6. Step 6: Final answer
    x = 108,432.53

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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.