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Finding the Fourth Proportional to 145,939, 201,395.82 and 78,871

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Solution

The fourth proportional to 145,939, 201,395.82 and 78,871 is: 108,841.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,939 : 201,395.82 = 78,871 : x
  2. Step 2: Convert to fraction form
    145,939/201,395.82 = 78,871/x
  3. Step 3: Cross multiply
    145,939x = 201,395.82 × 78,871
  4. Step 4: Simplify right side
    145,939x = 15,884,289,719.22
  5. Step 5: Solve for x
    x = 15,884,289,719.22/145,939
  6. Step 6: Final answer
    x = 108,841.98

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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.