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Finding the Fourth Proportional to 265,732.80, 398,531.07 and 78,700.56

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Solution

The fourth proportional to 265,732.80, 398,531.07 and 78,700.56 is: 118,030.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,732.80 : 398,531.07 = 78,700.56 : x
  2. Step 2: Convert to fraction form
    265,732.80/398,531.07 = 78,700.56/x
  3. Step 3: Cross multiply
    265,732.80x = 398,531.07 × 78,700.56
  4. Step 4: Simplify right side
    265,732.80x = 31,364,618,386.40
  5. Step 5: Solve for x
    x = 31,364,618,386.40/265,732.80
  6. Step 6: Final answer
    x = 118,030.66

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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.