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Finding the Fourth Proportional to 257,806.59, 386,730.63 and 97,959.13

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Solution

The fourth proportional to 257,806.59, 386,730.63 and 97,959.13 is: 146,946.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,806.59 : 386,730.63 = 97,959.13 : x
  2. Step 2: Convert to fraction form
    257,806.59/386,730.63 = 97,959.13/x
  3. Step 3: Cross multiply
    257,806.59x = 386,730.63 × 97,959.13
  4. Step 4: Simplify right side
    257,806.59x = 37,883,796,059.15
  5. Step 5: Solve for x
    x = 37,883,796,059.15/257,806.59
  6. Step 6: Final answer
    x = 146,946.58

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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.