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Finding the Fourth Proportional to 191,462.40, 287,323.20 and 86,227.20

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Solution

The fourth proportional to 191,462.40, 287,323.20 and 86,227.20 is: 129,399.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,462.40 : 287,323.20 = 86,227.20 : x
  2. Step 2: Convert to fraction form
    191,462.40/287,323.20 = 86,227.20/x
  3. Step 3: Cross multiply
    191,462.40x = 287,323.20 × 86,227.20
  4. Step 4: Simplify right side
    191,462.40x = 24,775,075,031.04
  5. Step 5: Solve for x
    x = 24,775,075,031.04/191,462.40
  6. Step 6: Final answer
    x = 129,399.17

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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.