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Finding the Fourth Proportional to 102,368.58, 153,459.30 and 86,674.72

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Solution

The fourth proportional to 102,368.58, 153,459.30 and 86,674.72 is: 129,932.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,368.58 : 153,459.30 = 86,674.72 : x
  2. Step 2: Convert to fraction form
    102,368.58/153,459.30 = 86,674.72/x
  3. Step 3: Cross multiply
    102,368.58x = 153,459.30 × 86,674.72
  4. Step 4: Simplify right side
    102,368.58x = 13,301,041,858.90
  5. Step 5: Solve for x
    x = 13,301,041,858.90/102,368.58
  6. Step 6: Final answer
    x = 129,932.85

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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.