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Finding the Fourth Proportional to 191,070.30, 286,605.45 and 146,919.90

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Solution

The fourth proportional to 191,070.30, 286,605.45 and 146,919.90 is: 220,379.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,070.30 : 286,605.45 = 146,919.90 : x
  2. Step 2: Convert to fraction form
    191,070.30/286,605.45 = 146,919.90/x
  3. Step 3: Cross multiply
    191,070.30x = 286,605.45 × 146,919.90
  4. Step 4: Simplify right side
    191,070.30x = 42,108,044,053.46
  5. Step 5: Solve for x
    x = 42,108,044,053.46/191,070.30
  6. Step 6: Final answer
    x = 220,379.85

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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.