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Finding the Fourth Proportional to 209,656.98, 289,254.68 and 119,006.10

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Solution

The fourth proportional to 209,656.98, 289,254.68 and 119,006.10 is: 164,187.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,656.98 : 289,254.68 = 119,006.10 : x
  2. Step 2: Convert to fraction form
    209,656.98/289,254.68 = 119,006.10/x
  3. Step 3: Cross multiply
    209,656.98x = 289,254.68 × 119,006.10
  4. Step 4: Simplify right side
    209,656.98x = 34,423,071,373.55
  5. Step 5: Solve for x
    x = 34,423,071,373.55/209,656.98
  6. Step 6: Final answer
    x = 164,187.58

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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.