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Finding the Fourth Proportional to 138,547.20, 207,820.80 and 105,369.60

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Solution

The fourth proportional to 138,547.20, 207,820.80 and 105,369.60 is: 158,054.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,547.20 : 207,820.80 = 105,369.60 : x
  2. Step 2: Convert to fraction form
    138,547.20/207,820.80 = 105,369.60/x
  3. Step 3: Cross multiply
    138,547.20x = 207,820.80 × 105,369.60
  4. Step 4: Simplify right side
    138,547.20x = 21,897,994,567.68
  5. Step 5: Solve for x
    x = 21,897,994,567.68/138,547.20
  6. Step 6: Final answer
    x = 158,054.40

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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.