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Finding the Fourth Proportional to 145,202.80, 200,459.28 and 87,851.92

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Solution

The fourth proportional to 145,202.80, 200,459.28 and 87,851.92 is: 121,283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,202.80 : 200,459.28 = 87,851.92 : x
  2. Step 2: Convert to fraction form
    145,202.80/200,459.28 = 87,851.92/x
  3. Step 3: Cross multiply
    145,202.80x = 200,459.28 × 87,851.92
  4. Step 4: Simplify right side
    145,202.80x = 17,610,732,629.82
  5. Step 5: Solve for x
    x = 17,610,732,629.82/145,202.80
  6. Step 6: Final answer
    x = 121,283.70

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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.