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Finding the Fourth Proportional to 78,402.71, 117,011.57 and 70,835.92

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Solution

The fourth proportional to 78,402.71, 117,011.57 and 70,835.92 is: 105,718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,402.71 : 117,011.57 = 70,835.92 : x
  2. Step 2: Convert to fraction form
    78,402.71/117,011.57 = 70,835.92/x
  3. Step 3: Cross multiply
    78,402.71x = 117,011.57 × 70,835.92
  4. Step 4: Simplify right side
    78,402.71x = 8,288,621,564.89
  5. Step 5: Solve for x
    x = 8,288,621,564.89/78,402.71
  6. Step 6: Final answer
    x = 105,718.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.