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Finding the Fourth Proportional to 287,141.10, 430,711.65 and 73,908.60

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Solution

The fourth proportional to 287,141.10, 430,711.65 and 73,908.60 is: 110,862.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,141.10 : 430,711.65 = 73,908.60 : x
  2. Step 2: Convert to fraction form
    287,141.10/430,711.65 = 73,908.60/x
  3. Step 3: Cross multiply
    287,141.10x = 430,711.65 × 73,908.60
  4. Step 4: Simplify right side
    287,141.10x = 31,833,295,055.19
  5. Step 5: Solve for x
    x = 31,833,295,055.19/287,141.10
  6. Step 6: Final answer
    x = 110,862.90

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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.