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Finding the Fourth Proportional to 71,342.32, 98,468.76 and 47,470

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Solution

The fourth proportional to 71,342.32, 98,468.76 and 47,470 is: 65,519.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,342.32 : 98,468.76 = 47,470 : x
  2. Step 2: Convert to fraction form
    71,342.32/98,468.76 = 47,470/x
  3. Step 3: Cross multiply
    71,342.32x = 98,468.76 × 47,470
  4. Step 4: Simplify right side
    71,342.32x = 4,674,312,037.20
  5. Step 5: Solve for x
    x = 4,674,312,037.20/71,342.32
  6. Step 6: Final answer
    x = 65,519.48

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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.