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Finding the Fourth Proportional to 128,098.31, 192,264.64 and 64,962.01

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Solution

The fourth proportional to 128,098.31, 192,264.64 and 64,962.01 is: 97,502.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,098.31 : 192,264.64 = 64,962.01 : x
  2. Step 2: Convert to fraction form
    128,098.31/192,264.64 = 64,962.01/x
  3. Step 3: Cross multiply
    128,098.31x = 192,264.64 × 64,962.01
  4. Step 4: Simplify right side
    128,098.31x = 12,489,896,823.26
  5. Step 5: Solve for x
    x = 12,489,896,823.26/128,098.31
  6. Step 6: Final answer
    x = 97,502.44

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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.