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Finding the Fourth Proportional to 78,955.32, 118,430.16 and 19,791.48

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Solution

The fourth proportional to 78,955.32, 118,430.16 and 19,791.48 is: 29,686.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,955.32 : 118,430.16 = 19,791.48 : x
  2. Step 2: Convert to fraction form
    78,955.32/118,430.16 = 19,791.48/x
  3. Step 3: Cross multiply
    78,955.32x = 118,430.16 × 19,791.48
  4. Step 4: Simplify right side
    78,955.32x = 2,343,908,143.04
  5. Step 5: Solve for x
    x = 2,343,908,143.04/78,955.32
  6. Step 6: Final answer
    x = 29,686.51

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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.