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Finding the Fourth Proportional to 136,946.62, 188,967.52 and 76,509.76

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Solution

The fourth proportional to 136,946.62, 188,967.52 and 76,509.76 is: 105,572.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,946.62 : 188,967.52 = 76,509.76 : x
  2. Step 2: Convert to fraction form
    136,946.62/188,967.52 = 76,509.76/x
  3. Step 3: Cross multiply
    136,946.62x = 188,967.52 × 76,509.76
  4. Step 4: Simplify right side
    136,946.62x = 14,457,859,603.00
  5. Step 5: Solve for x
    x = 14,457,859,603.00/136,946.62
  6. Step 6: Final answer
    x = 105,572.96

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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.