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Finding the Fourth Proportional to 265,720.50, 398,646.36 and 78,732

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Solution

The fourth proportional to 265,720.50, 398,646.36 and 78,732 is: 118,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,720.50 : 398,646.36 = 78,732 : x
  2. Step 2: Convert to fraction form
    265,720.50/398,646.36 = 78,732/x
  3. Step 3: Cross multiply
    265,720.50x = 398,646.36 × 78,732
  4. Step 4: Simplify right side
    265,720.50x = 31,386,225,215.52
  5. Step 5: Solve for x
    x = 31,386,225,215.52/265,720.50
  6. Step 6: Final answer
    x = 118,117.44

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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.