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Finding the Fourth Proportional to 157,230.60, 216,944.64 and 99,888

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Solution

The fourth proportional to 157,230.60, 216,944.64 and 99,888 is: 137,824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,230.60 : 216,944.64 = 99,888 : x
  2. Step 2: Convert to fraction form
    157,230.60/216,944.64 = 99,888/x
  3. Step 3: Cross multiply
    157,230.60x = 216,944.64 × 99,888
  4. Step 4: Simplify right side
    157,230.60x = 21,670,166,200.32
  5. Step 5: Solve for x
    x = 21,670,166,200.32/157,230.60
  6. Step 6: Final answer
    x = 137,824.10

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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.