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Finding the Fourth Proportional to 191,201.40, 286,543.76 and 72,808.16

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Solution

The fourth proportional to 191,201.40, 286,543.76 and 72,808.16 is: 109,113.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,201.40 : 286,543.76 = 72,808.16 : x
  2. Step 2: Convert to fraction form
    191,201.40/286,543.76 = 72,808.16/x
  3. Step 3: Cross multiply
    191,201.40x = 286,543.76 × 72,808.16
  4. Step 4: Simplify right side
    191,201.40x = 20,862,722,128.32
  5. Step 5: Solve for x
    x = 20,862,722,128.32/191,201.40
  6. Step 6: Final answer
    x = 109,113.86

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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.