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Finding the Fourth Proportional to 186,842.40, 280,069.20 and 102,472.80

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Solution

The fourth proportional to 186,842.40, 280,069.20 and 102,472.80 is: 153,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,842.40 : 280,069.20 = 102,472.80 : x
  2. Step 2: Convert to fraction form
    186,842.40/280,069.20 = 102,472.80/x
  3. Step 3: Cross multiply
    186,842.40x = 280,069.20 × 102,472.80
  4. Step 4: Simplify right side
    186,842.40x = 28,699,475,117.76
  5. Step 5: Solve for x
    x = 28,699,475,117.76/186,842.40
  6. Step 6: Final answer
    x = 153,602.58

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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.