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Finding the Fourth Proportional to 111,438, 153,784.44 and 61,138.08

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Solution

The fourth proportional to 111,438, 153,784.44 and 61,138.08 is: 84,370.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,438 : 153,784.44 = 61,138.08 : x
  2. Step 2: Convert to fraction form
    111,438/153,784.44 = 61,138.08/x
  3. Step 3: Cross multiply
    111,438x = 153,784.44 × 61,138.08
  4. Step 4: Simplify right side
    111,438x = 9,402,085,395.48
  5. Step 5: Solve for x
    x = 9,402,085,395.48/111,438
  6. Step 6: Final answer
    x = 84,370.55

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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.