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Finding the Fourth Proportional to 121,590, 182,385.81 and 38,484

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Solution

The fourth proportional to 121,590, 182,385.81 and 38,484 is: 57,726.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,590 : 182,385.81 = 38,484 : x
  2. Step 2: Convert to fraction form
    121,590/182,385.81 = 38,484/x
  3. Step 3: Cross multiply
    121,590x = 182,385.81 × 38,484
  4. Step 4: Simplify right side
    121,590x = 7,018,935,512.04
  5. Step 5: Solve for x
    x = 7,018,935,512.04/121,590
  6. Step 6: Final answer
    x = 57,726.26

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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.