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Finding the Fourth Proportional to 153,490.54, 211,813.74 and 85,507.42

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Solution

The fourth proportional to 153,490.54, 211,813.74 and 85,507.42 is: 117,998.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,490.54 : 211,813.74 = 85,507.42 : x
  2. Step 2: Convert to fraction form
    153,490.54/211,813.74 = 85,507.42/x
  3. Step 3: Cross multiply
    153,490.54x = 211,813.74 × 85,507.42
  4. Step 4: Simplify right side
    153,490.54x = 18,111,646,427.95
  5. Step 5: Solve for x
    x = 18,111,646,427.95/153,490.54
  6. Step 6: Final answer
    x = 117,998.45

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1.5x scale

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.