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Finding the Fourth Proportional to 213,114.60, 319,931.10 and 160,108.20

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Solution

The fourth proportional to 213,114.60, 319,931.10 and 160,108.20 is: 240,357.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,114.60 : 319,931.10 = 160,108.20 : x
  2. Step 2: Convert to fraction form
    213,114.60/319,931.10 = 160,108.20/x
  3. Step 3: Cross multiply
    213,114.60x = 319,931.10 × 160,108.20
  4. Step 4: Simplify right side
    213,114.60x = 51,223,592,545.02
  5. Step 5: Solve for x
    x = 51,223,592,545.02/213,114.60
  6. Step 6: Final answer
    x = 240,357.03

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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.