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Finding the Fourth Proportional to 152,186.50, 210,018.09 and 85,118.50

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Solution

The fourth proportional to 152,186.50, 210,018.09 and 85,118.50 is: 117,463.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,186.50 : 210,018.09 = 85,118.50 : x
  2. Step 2: Convert to fraction form
    152,186.50/210,018.09 = 85,118.50/x
  3. Step 3: Cross multiply
    152,186.50x = 210,018.09 × 85,118.50
  4. Step 4: Simplify right side
    152,186.50x = 17,876,424,793.67
  5. Step 5: Solve for x
    x = 17,876,424,793.67/152,186.50
  6. Step 6: Final answer
    x = 117,463.93

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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.