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Finding the Fourth Proportional to 145,686.30, 201,103.59 and 113,865.54

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Solution

The fourth proportional to 145,686.30, 201,103.59 and 113,865.54 is: 157,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,686.30 : 201,103.59 = 113,865.54 : x
  2. Step 2: Convert to fraction form
    145,686.30/201,103.59 = 113,865.54/x
  3. Step 3: Cross multiply
    145,686.30x = 201,103.59 × 113,865.54
  4. Step 4: Simplify right side
    145,686.30x = 22,898,768,871.29
  5. Step 5: Solve for x
    x = 22,898,768,871.29/145,686.30
  6. Step 6: Final answer
    x = 157,178.60

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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.