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Finding the Fourth Proportional to 287,416.60, 431,189.70 and 87,746.20

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Solution

The fourth proportional to 287,416.60, 431,189.70 and 87,746.20 is: 131,639.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,416.60 : 431,189.70 = 87,746.20 : x
  2. Step 2: Convert to fraction form
    287,416.60/431,189.70 = 87,746.20/x
  3. Step 3: Cross multiply
    287,416.60x = 431,189.70 × 87,746.20
  4. Step 4: Simplify right side
    287,416.60x = 37,835,257,654.14
  5. Step 5: Solve for x
    x = 37,835,257,654.14/287,416.60
  6. Step 6: Final answer
    x = 131,639.08

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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.