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Finding the Fourth Proportional to 213,041.28, 319,446.72 and 65,278.08

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Solution

The fourth proportional to 213,041.28, 319,446.72 and 65,278.08 is: 97,881.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,041.28 : 319,446.72 = 65,278.08 : x
  2. Step 2: Convert to fraction form
    213,041.28/319,446.72 = 65,278.08/x
  3. Step 3: Cross multiply
    213,041.28x = 319,446.72 × 65,278.08
  4. Step 4: Simplify right side
    213,041.28x = 20,852,868,543.90
  5. Step 5: Solve for x
    x = 20,852,868,543.90/213,041.28
  6. Step 6: Final answer
    x = 97,881.82

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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.