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Finding the Fourth Proportional to 100,069.07, 138,094.16 and 54,746.51

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Solution

The fourth proportional to 100,069.07, 138,094.16 and 54,746.51 is: 75,549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,069.07 : 138,094.16 = 54,746.51 : x
  2. Step 2: Convert to fraction form
    100,069.07/138,094.16 = 54,746.51/x
  3. Step 3: Cross multiply
    100,069.07x = 138,094.16 × 54,746.51
  4. Step 4: Simplify right side
    100,069.07x = 7,560,172,347.18
  5. Step 5: Solve for x
    x = 7,560,172,347.18/100,069.07
  6. Step 6: Final answer
    x = 75,549.55

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1.5x scale

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.