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Finding the Fourth Proportional to 145,886.50, 201,323.40 and 78,818.50

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Solution

The fourth proportional to 145,886.50, 201,323.40 and 78,818.50 is: 108,769.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,886.50 : 201,323.40 = 78,818.50 : x
  2. Step 2: Convert to fraction form
    145,886.50/201,323.40 = 78,818.50/x
  3. Step 3: Cross multiply
    145,886.50x = 201,323.40 × 78,818.50
  4. Step 4: Simplify right side
    145,886.50x = 15,868,008,402.90
  5. Step 5: Solve for x
    x = 15,868,008,402.90/145,886.50
  6. Step 6: Final answer
    x = 108,769.55

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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.