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Finding the Fourth Proportional to 152,613.86, 210,607.11 and 84,641.20

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Solution

The fourth proportional to 152,613.86, 210,607.11 and 84,641.20 is: 116,804.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,613.86 : 210,607.11 = 84,641.20 : x
  2. Step 2: Convert to fraction form
    152,613.86/210,607.11 = 84,641.20/x
  3. Step 3: Cross multiply
    152,613.86x = 210,607.11 × 84,641.20
  4. Step 4: Simplify right side
    152,613.86x = 17,826,037,992.41
  5. Step 5: Solve for x
    x = 17,826,037,992.41/152,613.86
  6. Step 6: Final answer
    x = 116,804.85

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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.