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Finding the Fourth Proportional to 152,095.86, 209,900.16 and 87,574.68

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Solution

The fourth proportional to 152,095.86, 209,900.16 and 87,574.68 is: 120,857.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,095.86 : 209,900.16 = 87,574.68 : x
  2. Step 2: Convert to fraction form
    152,095.86/209,900.16 = 87,574.68/x
  3. Step 3: Cross multiply
    152,095.86x = 209,900.16 × 87,574.68
  4. Step 4: Simplify right side
    152,095.86x = 18,381,939,343.95
  5. Step 5: Solve for x
    x = 18,381,939,343.95/152,095.86
  6. Step 6: Final answer
    x = 120,857.59

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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.