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Finding the Fourth Proportional to 145,999, 201,478.62 and 78,931

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Solution

The fourth proportional to 145,999, 201,478.62 and 78,931 is: 108,924.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,999 : 201,478.62 = 78,931 : x
  2. Step 2: Convert to fraction form
    145,999/201,478.62 = 78,931/x
  3. Step 3: Cross multiply
    145,999x = 201,478.62 × 78,931
  4. Step 4: Simplify right side
    145,999x = 15,902,908,955.22
  5. Step 5: Solve for x
    x = 15,902,908,955.22/145,999
  6. Step 6: Final answer
    x = 108,924.78

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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.