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Finding the Fourth Proportional to 78,043.76, 107,688.80 and 47,400.91

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Solution

The fourth proportional to 78,043.76, 107,688.80 and 47,400.91 is: 65,406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,043.76 : 107,688.80 = 47,400.91 : x
  2. Step 2: Convert to fraction form
    78,043.76/107,688.80 = 47,400.91/x
  3. Step 3: Cross multiply
    78,043.76x = 107,688.80 × 47,400.91
  4. Step 4: Simplify right side
    78,043.76x = 5,104,547,116.81
  5. Step 5: Solve for x
    x = 5,104,547,116.81/78,043.76
  6. Step 6: Final answer
    x = 65,406.22

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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.