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Finding the Fourth Proportional to 155,697.64, 214,069.13 and 138,536.20

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Solution

The fourth proportional to 155,697.64, 214,069.13 and 138,536.20 is: 190,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,697.64 : 214,069.13 = 138,536.20 : x
  2. Step 2: Convert to fraction form
    155,697.64/214,069.13 = 138,536.20/x
  3. Step 3: Cross multiply
    155,697.64x = 214,069.13 × 138,536.20
  4. Step 4: Simplify right side
    155,697.64x = 29,656,323,807.51
  5. Step 5: Solve for x
    x = 29,656,323,807.51/155,697.64
  6. Step 6: Final answer
    x = 190,473.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.