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Finding the Fourth Proportional to 272,078.64, 408,117.40 and 72,399

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Solution

The fourth proportional to 272,078.64, 408,117.40 and 72,399 is: 108,598.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,078.64 : 408,117.40 = 72,399 : x
  2. Step 2: Convert to fraction form
    272,078.64/408,117.40 = 72,399/x
  3. Step 3: Cross multiply
    272,078.64x = 408,117.40 × 72,399
  4. Step 4: Simplify right side
    272,078.64x = 29,547,291,642.60
  5. Step 5: Solve for x
    x = 29,547,291,642.60/272,078.64
  6. Step 6: Final answer
    x = 108,598.35

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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.