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Finding the Fourth Proportional to 153,045.64, 211,201.86 and 85,977.64

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Solution

The fourth proportional to 153,045.64, 211,201.86 and 85,977.64 is: 118,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,045.64 : 211,201.86 = 85,977.64 : x
  2. Step 2: Convert to fraction form
    153,045.64/211,201.86 = 85,977.64/x
  3. Step 3: Cross multiply
    153,045.64x = 211,201.86 × 85,977.64
  4. Step 4: Simplify right side
    153,045.64x = 18,158,637,486.41
  5. Step 5: Solve for x
    x = 18,158,637,486.41/153,045.64
  6. Step 6: Final answer
    x = 118,648.51

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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.