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Finding the Fourth Proportional to 77,478.70, 115,968.90 and 39,987.71

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Solution

The fourth proportional to 77,478.70, 115,968.90 and 39,987.71 is: 59,852.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,478.70 : 115,968.90 = 39,987.71 : x
  2. Step 2: Convert to fraction form
    77,478.70/115,968.90 = 39,987.71/x
  3. Step 3: Cross multiply
    77,478.70x = 115,968.90 × 39,987.71
  4. Step 4: Simplify right side
    77,478.70x = 4,637,330,742.22
  5. Step 5: Solve for x
    x = 4,637,330,742.22/77,478.70
  6. Step 6: Final answer
    x = 59,852.98

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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.