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Finding the Fourth Proportional to 216,877.86, 299,291.41 and 121,384.55

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Solution

The fourth proportional to 216,877.86, 299,291.41 and 121,384.55 is: 167,510.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,877.86 : 299,291.41 = 121,384.55 : x
  2. Step 2: Convert to fraction form
    216,877.86/299,291.41 = 121,384.55/x
  3. Step 3: Cross multiply
    216,877.86x = 299,291.41 × 121,384.55
  4. Step 4: Simplify right side
    216,877.86x = 36,329,354,021.67
  5. Step 5: Solve for x
    x = 36,329,354,021.67/216,877.86
  6. Step 6: Final answer
    x = 167,510.66

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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.