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Finding the Fourth Proportional to 88,283, 121,830.54 and 48,539

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Solution

The fourth proportional to 88,283, 121,830.54 and 48,539 is: 66,983.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,283 : 121,830.54 = 48,539 : x
  2. Step 2: Convert to fraction form
    88,283/121,830.54 = 48,539/x
  3. Step 3: Cross multiply
    88,283x = 121,830.54 × 48,539
  4. Step 4: Simplify right side
    88,283x = 5,913,532,581.06
  5. Step 5: Solve for x
    x = 5,913,532,581.06/88,283
  6. Step 6: Final answer
    x = 66,983.82

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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.