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Finding the Fourth Proportional to 142,646.16, 196,851.64 and 78,988

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Solution

The fourth proportional to 142,646.16, 196,851.64 and 78,988 is: 109,003.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,646.16 : 196,851.64 = 78,988 : x
  2. Step 2: Convert to fraction form
    142,646.16/196,851.64 = 78,988/x
  3. Step 3: Cross multiply
    142,646.16x = 196,851.64 × 78,988
  4. Step 4: Simplify right side
    142,646.16x = 15,548,917,340.32
  5. Step 5: Solve for x
    x = 15,548,917,340.32/142,646.16
  6. Step 6: Final answer
    x = 109,003.41

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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.