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Finding the Fourth Proportional to 152,147, 209,959.08 and 84,166.67

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Solution

The fourth proportional to 152,147, 209,959.08 and 84,166.67 is: 116,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,147 : 209,959.08 = 84,166.67 : x
  2. Step 2: Convert to fraction form
    152,147/209,959.08 = 84,166.67/x
  3. Step 3: Cross multiply
    152,147x = 209,959.08 × 84,166.67
  4. Step 4: Simplify right side
    152,147x = 17,671,556,599.86
  5. Step 5: Solve for x
    x = 17,671,556,599.86/152,147
  6. Step 6: Final answer
    x = 116,147.91

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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.