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Finding the Fourth Proportional to 157,197.08, 216,518.59 and 120,828.89

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Solution

The fourth proportional to 157,197.08, 216,518.59 and 120,828.89 is: 166,426.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,197.08 : 216,518.59 = 120,828.89 : x
  2. Step 2: Convert to fraction form
    157,197.08/216,518.59 = 120,828.89/x
  3. Step 3: Cross multiply
    157,197.08x = 216,518.59 × 120,828.89
  4. Step 4: Simplify right side
    157,197.08x = 26,161,700,894.07
  5. Step 5: Solve for x
    x = 26,161,700,894.07/157,197.08
  6. Step 6: Final answer
    x = 166,426.13

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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.