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Finding the Fourth Proportional to 105,869.76, 158,664.45 and 77,657.71

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Solution

The fourth proportional to 105,869.76, 158,664.45 and 77,657.71 is: 116,383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,869.76 : 158,664.45 = 77,657.71 : x
  2. Step 2: Convert to fraction form
    105,869.76/158,664.45 = 77,657.71/x
  3. Step 3: Cross multiply
    105,869.76x = 158,664.45 × 77,657.71
  4. Step 4: Simplify right side
    105,869.76x = 12,321,518,037.46
  5. Step 5: Solve for x
    x = 12,321,518,037.46/105,869.76
  6. Step 6: Final answer
    x = 116,383.74

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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.