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Finding the Fourth Proportional to 72,688, 109,032 and 19,380.16

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Solution

The fourth proportional to 72,688, 109,032 and 19,380.16 is: 29,070.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,688 : 109,032 = 19,380.16 : x
  2. Step 2: Convert to fraction form
    72,688/109,032 = 19,380.16/x
  3. Step 3: Cross multiply
    72,688x = 109,032 × 19,380.16
  4. Step 4: Simplify right side
    72,688x = 2,113,057,605.12
  5. Step 5: Solve for x
    x = 2,113,057,605.12/72,688
  6. Step 6: Final answer
    x = 29,070.24

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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.