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Finding the Fourth Proportional to 153,606.64, 211,978.21 and 85,627.93

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Solution

The fourth proportional to 153,606.64, 211,978.21 and 85,627.93 is: 118,167.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,606.64 : 211,978.21 = 85,627.93 : x
  2. Step 2: Convert to fraction form
    153,606.64/211,978.21 = 85,627.93/x
  3. Step 3: Cross multiply
    153,606.64x = 211,978.21 × 85,627.93
  4. Step 4: Simplify right side
    153,606.64x = 18,151,254,583.39
  5. Step 5: Solve for x
    x = 18,151,254,583.39/153,606.64
  6. Step 6: Final answer
    x = 118,167.12

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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.