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Finding the Fourth Proportional to 65,312.88, 89,971.80 and 47,355.12

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Solution

The fourth proportional to 65,312.88, 89,971.80 and 47,355.12 is: 65,234.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,312.88 : 89,971.80 = 47,355.12 : x
  2. Step 2: Convert to fraction form
    65,312.88/89,971.80 = 47,355.12/x
  3. Step 3: Cross multiply
    65,312.88x = 89,971.80 × 47,355.12
  4. Step 4: Simplify right side
    65,312.88x = 4,260,625,385.62
  5. Step 5: Solve for x
    x = 4,260,625,385.62/65,312.88
  6. Step 6: Final answer
    x = 65,234.08

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1.5x scale

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.