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Finding the Fourth Proportional to 152,445, 210,374.10 and 85,377

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Solution

The fourth proportional to 152,445, 210,374.10 and 85,377 is: 117,820.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,445 : 210,374.10 = 85,377 : x
  2. Step 2: Convert to fraction form
    152,445/210,374.10 = 85,377/x
  3. Step 3: Cross multiply
    152,445x = 210,374.10 × 85,377
  4. Step 4: Simplify right side
    152,445x = 17,961,109,535.70
  5. Step 5: Solve for x
    x = 17,961,109,535.70/152,445
  6. Step 6: Final answer
    x = 117,820.26

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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.