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Finding the Fourth Proportional to 78,701.82, 118,055.61 and 31,953.66

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Solution

The fourth proportional to 78,701.82, 118,055.61 and 31,953.66 is: 47,931.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,701.82 : 118,055.61 = 31,953.66 : x
  2. Step 2: Convert to fraction form
    78,701.82/118,055.61 = 31,953.66/x
  3. Step 3: Cross multiply
    78,701.82x = 118,055.61 × 31,953.66
  4. Step 4: Simplify right side
    78,701.82x = 3,772,308,823.03
  5. Step 5: Solve for x
    x = 3,772,308,823.03/78,701.82
  6. Step 6: Final answer
    x = 47,931.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.