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Finding the Fourth Proportional to 121,659.48, 182,489.22 and 38,547

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Solution

The fourth proportional to 121,659.48, 182,489.22 and 38,547 is: 57,820.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,659.48 : 182,489.22 = 38,547 : x
  2. Step 2: Convert to fraction form
    121,659.48/182,489.22 = 38,547/x
  3. Step 3: Cross multiply
    121,659.48x = 182,489.22 × 38,547
  4. Step 4: Simplify right side
    121,659.48x = 7,034,411,963.34
  5. Step 5: Solve for x
    x = 7,034,411,963.34/121,659.48
  6. Step 6: Final answer
    x = 57,820.50

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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.