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Finding the Fourth Proportional to 88,070.78, 121,534.13 and 47,783

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Solution

The fourth proportional to 88,070.78, 121,534.13 and 47,783 is: 65,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,070.78 : 121,534.13 = 47,783 : x
  2. Step 2: Convert to fraction form
    88,070.78/121,534.13 = 47,783/x
  3. Step 3: Cross multiply
    88,070.78x = 121,534.13 × 47,783
  4. Step 4: Simplify right side
    88,070.78x = 5,807,265,333.79
  5. Step 5: Solve for x
    x = 5,807,265,333.79/88,070.78
  6. Step 6: Final answer
    x = 65,938.62

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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.