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Finding the Fourth Proportional to 35,270.64, 48,665.88 and 20,358

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Solution

The fourth proportional to 35,270.64, 48,665.88 and 20,358 is: 28,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,270.64 : 48,665.88 = 20,358 : x
  2. Step 2: Convert to fraction form
    35,270.64/48,665.88 = 20,358/x
  3. Step 3: Cross multiply
    35,270.64x = 48,665.88 × 20,358
  4. Step 4: Simplify right side
    35,270.64x = 990,739,985.04
  5. Step 5: Solve for x
    x = 990,739,985.04/35,270.64
  6. Step 6: Final answer
    x = 28,089.65

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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.