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Finding the Fourth Proportional to 145,878.56, 201,367.76 and 98,159.58

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Solution

The fourth proportional to 145,878.56, 201,367.76 and 98,159.58 is: 135,497.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,878.56 : 201,367.76 = 98,159.58 : x
  2. Step 2: Convert to fraction form
    145,878.56/201,367.76 = 98,159.58/x
  3. Step 3: Cross multiply
    145,878.56x = 201,367.76 × 98,159.58
  4. Step 4: Simplify right side
    145,878.56x = 19,766,174,747.14
  5. Step 5: Solve for x
    x = 19,766,174,747.14/145,878.56
  6. Step 6: Final answer
    x = 135,497.46

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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.