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Finding the Fourth Proportional to 96,972, 145,458.24 and 31,308

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Solution

The fourth proportional to 96,972, 145,458.24 and 31,308 is: 46,962.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,972 : 145,458.24 = 31,308 : x
  2. Step 2: Convert to fraction form
    96,972/145,458.24 = 31,308/x
  3. Step 3: Cross multiply
    96,972x = 145,458.24 × 31,308
  4. Step 4: Simplify right side
    96,972x = 4,554,006,577.92
  5. Step 5: Solve for x
    x = 4,554,006,577.92/96,972
  6. Step 6: Final answer
    x = 46,962.08

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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.