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Finding the Fourth Proportional to 105,990.31, 158,639.32 and 77,902.93

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Solution

The fourth proportional to 105,990.31, 158,639.32 and 77,902.93 is: 116,599.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,990.31 : 158,639.32 = 77,902.93 : x
  2. Step 2: Convert to fraction form
    105,990.31/158,639.32 = 77,902.93/x
  3. Step 3: Cross multiply
    105,990.31x = 158,639.32 × 77,902.93
  4. Step 4: Simplify right side
    105,990.31x = 12,358,467,841.21
  5. Step 5: Solve for x
    x = 12,358,467,841.21/105,990.31
  6. Step 6: Final answer
    x = 116,599.98

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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.