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Finding the Fourth Proportional to 96,678.31, 133,407.46 and 56,395.59

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Solution

The fourth proportional to 96,678.31, 133,407.46 and 56,395.59 is: 77,820.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,678.31 : 133,407.46 = 56,395.59 : x
  2. Step 2: Convert to fraction form
    96,678.31/133,407.46 = 56,395.59/x
  3. Step 3: Cross multiply
    96,678.31x = 133,407.46 × 56,395.59
  4. Step 4: Simplify right side
    96,678.31x = 7,523,592,420.51
  5. Step 5: Solve for x
    x = 7,523,592,420.51/96,678.31
  6. Step 6: Final answer
    x = 77,820.89

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