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Finding the Fourth Proportional to 131,421.64, 181,298.64 and 86,080

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Solution

The fourth proportional to 131,421.64, 181,298.64 and 86,080 is: 118,748.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,421.64 : 181,298.64 = 86,080 : x
  2. Step 2: Convert to fraction form
    131,421.64/181,298.64 = 86,080/x
  3. Step 3: Cross multiply
    131,421.64x = 181,298.64 × 86,080
  4. Step 4: Simplify right side
    131,421.64x = 15,606,186,931.20
  5. Step 5: Solve for x
    x = 15,606,186,931.20/131,421.64
  6. Step 6: Final answer
    x = 118,748.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.