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Finding the Fourth Proportional to 288,565.95, 432,870.69 and 86,146.08

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Solution

The fourth proportional to 288,565.95, 432,870.69 and 86,146.08 is: 129,225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,565.95 : 432,870.69 = 86,146.08 : x
  2. Step 2: Convert to fraction form
    288,565.95/432,870.69 = 86,146.08/x
  3. Step 3: Cross multiply
    288,565.95x = 432,870.69 × 86,146.08
  4. Step 4: Simplify right side
    288,565.95x = 37,290,113,090.40
  5. Step 5: Solve for x
    x = 37,290,113,090.40/288,565.95
  6. Step 6: Final answer
    x = 129,225.62

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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.