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Finding the Fourth Proportional to 145,938, 201,394.44 and 78,870

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Solution

The fourth proportional to 145,938, 201,394.44 and 78,870 is: 108,840.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,938 : 201,394.44 = 78,870 : x
  2. Step 2: Convert to fraction form
    145,938/201,394.44 = 78,870/x
  3. Step 3: Cross multiply
    145,938x = 201,394.44 × 78,870
  4. Step 4: Simplify right side
    145,938x = 15,883,979,482.80
  5. Step 5: Solve for x
    x = 15,883,979,482.80/145,938
  6. Step 6: Final answer
    x = 108,840.60

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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.