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Finding the Fourth Proportional to 162,114.93, 242,674.08 and 138,200.09

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Solution

The fourth proportional to 162,114.93, 242,674.08 and 138,200.09 is: 206,875.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,114.93 : 242,674.08 = 138,200.09 : x
  2. Step 2: Convert to fraction form
    162,114.93/242,674.08 = 138,200.09/x
  3. Step 3: Cross multiply
    162,114.93x = 242,674.08 × 138,200.09
  4. Step 4: Simplify right side
    162,114.93x = 33,537,578,483.30
  5. Step 5: Solve for x
    x = 33,537,578,483.30/162,114.93
  6. Step 6: Final answer
    x = 206,875.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.