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Finding the Fourth Proportional to 72,695.64, 108,978.78 and 28,312.04

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Solution

The fourth proportional to 72,695.64, 108,978.78 and 28,312.04 is: 42,442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,695.64 : 108,978.78 = 28,312.04 : x
  2. Step 2: Convert to fraction form
    72,695.64/108,978.78 = 28,312.04/x
  3. Step 3: Cross multiply
    72,695.64x = 108,978.78 × 28,312.04
  4. Step 4: Simplify right side
    72,695.64x = 3,085,411,578.51
  5. Step 5: Solve for x
    x = 3,085,411,578.51/72,695.64
  6. Step 6: Final answer
    x = 42,442.87

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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.