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Finding the Fourth Proportional to 65,858.47, 98,758.54 and 47,312.71

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Solution

The fourth proportional to 65,858.47, 98,758.54 and 47,312.71 is: 70,948.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,858.47 : 98,758.54 = 47,312.71 : x
  2. Step 2: Convert to fraction form
    65,858.47/98,758.54 = 47,312.71/x
  3. Step 3: Cross multiply
    65,858.47x = 98,758.54 × 47,312.71
  4. Step 4: Simplify right side
    65,858.47x = 4,672,533,432.69
  5. Step 5: Solve for x
    x = 4,672,533,432.69/65,858.47
  6. Step 6: Final answer
    x = 70,948.11

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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.