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Finding the Fourth Proportional to 257,870.58, 386,956.47 and 108,099.36

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Solution

The fourth proportional to 257,870.58, 386,956.47 and 108,099.36 is: 162,212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,870.58 : 386,956.47 = 108,099.36 : x
  2. Step 2: Convert to fraction form
    257,870.58/386,956.47 = 108,099.36/x
  3. Step 3: Cross multiply
    257,870.58x = 386,956.47 × 108,099.36
  4. Step 4: Simplify right side
    257,870.58x = 41,829,746,754.86
  5. Step 5: Solve for x
    x = 41,829,746,754.86/257,870.58
  6. Step 6: Final answer
    x = 162,212.17

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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.