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Finding the Fourth Proportional to 145,871.56, 201,302.82 and 78,803.56

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Solution

The fourth proportional to 145,871.56, 201,302.82 and 78,803.56 is: 108,748.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,871.56 : 201,302.82 = 78,803.56 : x
  2. Step 2: Convert to fraction form
    145,871.56/201,302.82 = 78,803.56/x
  3. Step 3: Cross multiply
    145,871.56x = 201,302.82 × 78,803.56
  4. Step 4: Simplify right side
    145,871.56x = 15,863,378,854.04
  5. Step 5: Solve for x
    x = 15,863,378,854.04/145,871.56
  6. Step 6: Final answer
    x = 108,748.95

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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.