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Finding the Fourth Proportional to 211,915.86, 292,223.90 and 147,458.13

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Solution

The fourth proportional to 211,915.86, 292,223.90 and 147,458.13 is: 203,339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,915.86 : 292,223.90 = 147,458.13 : x
  2. Step 2: Convert to fraction form
    211,915.86/292,223.90 = 147,458.13/x
  3. Step 3: Cross multiply
    211,915.86x = 292,223.90 × 147,458.13
  4. Step 4: Simplify right side
    211,915.86x = 43,090,789,098.02
  5. Step 5: Solve for x
    x = 43,090,789,098.02/211,915.86
  6. Step 6: Final answer
    x = 203,339.14

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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.