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Finding the Fourth Proportional to 242,106.30, 363,159.45 and 137,130.30

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Solution

The fourth proportional to 242,106.30, 363,159.45 and 137,130.30 is: 205,695.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,106.30 : 363,159.45 = 137,130.30 : x
  2. Step 2: Convert to fraction form
    242,106.30/363,159.45 = 137,130.30/x
  3. Step 3: Cross multiply
    242,106.30x = 363,159.45 × 137,130.30
  4. Step 4: Simplify right side
    242,106.30x = 49,800,164,326.34
  5. Step 5: Solve for x
    x = 49,800,164,326.34/242,106.30
  6. Step 6: Final answer
    x = 205,695.45

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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.