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Finding the Fourth Proportional to 153,541.76, 211,887.12 and 85,561.64

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Solution

The fourth proportional to 153,541.76, 211,887.12 and 85,561.64 is: 118,074.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,541.76 : 211,887.12 = 85,561.64 : x
  2. Step 2: Convert to fraction form
    153,541.76/211,887.12 = 85,561.64/x
  3. Step 3: Cross multiply
    153,541.76x = 211,887.12 × 85,561.64
  4. Step 4: Simplify right side
    153,541.76x = 18,129,409,482.08
  5. Step 5: Solve for x
    x = 18,129,409,482.08/153,541.76
  6. Step 6: Final answer
    x = 118,074.78

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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.