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Finding the Fourth Proportional to 152,146, 209,957.70 and 84,165.67

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Solution

The fourth proportional to 152,146, 209,957.70 and 84,165.67 is: 116,146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,146 : 209,957.70 = 84,165.67 : x
  2. Step 2: Convert to fraction form
    152,146/209,957.70 = 84,165.67/x
  3. Step 3: Cross multiply
    152,146x = 209,957.70 × 84,165.67
  4. Step 4: Simplify right side
    152,146x = 17,671,230,492.16
  5. Step 5: Solve for x
    x = 17,671,230,492.16/152,146
  6. Step 6: Final answer
    x = 116,146.53

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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.