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Finding the Fourth Proportional to 209,887.52, 314,838.96 and 85,225.76

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Solution

The fourth proportional to 209,887.52, 314,838.96 and 85,225.76 is: 127,841.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,887.52 : 314,838.96 = 85,225.76 : x
  2. Step 2: Convert to fraction form
    209,887.52/314,838.96 = 85,225.76/x
  3. Step 3: Cross multiply
    209,887.52x = 314,838.96 × 85,225.76
  4. Step 4: Simplify right side
    209,887.52x = 26,832,389,643.61
  5. Step 5: Solve for x
    x = 26,832,389,643.61/209,887.52
  6. Step 6: Final answer
    x = 127,841.76

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1.5x scale

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.