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Finding the Fourth Proportional to 195,397.44, 292,943.02 and 77,157.28

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Solution

The fourth proportional to 195,397.44, 292,943.02 and 77,157.28 is: 115,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,397.44 : 292,943.02 = 77,157.28 : x
  2. Step 2: Convert to fraction form
    195,397.44/292,943.02 = 77,157.28/x
  3. Step 3: Cross multiply
    195,397.44x = 292,943.02 × 77,157.28
  4. Step 4: Simplify right side
    195,397.44x = 22,602,686,618.19
  5. Step 5: Solve for x
    x = 22,602,686,618.19/195,397.44
  6. Step 6: Final answer
    x = 115,675.45

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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.