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Finding the Fourth Proportional to 153,038, 211,192.44 and 85,970

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Solution

The fourth proportional to 153,038, 211,192.44 and 85,970 is: 118,638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,038 : 211,192.44 = 85,970 : x
  2. Step 2: Convert to fraction form
    153,038/211,192.44 = 85,970/x
  3. Step 3: Cross multiply
    153,038x = 211,192.44 × 85,970
  4. Step 4: Simplify right side
    153,038x = 18,156,214,066.80
  5. Step 5: Solve for x
    x = 18,156,214,066.80/153,038
  6. Step 6: Final answer
    x = 118,638.60

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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.