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Finding the Fourth Proportional to 172,428, 237,950.64 and 96,978.12

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Solution

The fourth proportional to 172,428, 237,950.64 and 96,978.12 is: 133,829.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,428 : 237,950.64 = 96,978.12 : x
  2. Step 2: Convert to fraction form
    172,428/237,950.64 = 96,978.12/x
  3. Step 3: Cross multiply
    172,428x = 237,950.64 × 96,978.12
  4. Step 4: Simplify right side
    172,428x = 23,076,005,720.00
  5. Step 5: Solve for x
    x = 23,076,005,720.00/172,428
  6. Step 6: Final answer
    x = 133,829.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.