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Finding the Fourth Proportional to 48,547, 72,848.80 and 20,465.32

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Solution

The fourth proportional to 48,547, 72,848.80 and 20,465.32 is: 30,709.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,547 : 72,848.80 = 20,465.32 : x
  2. Step 2: Convert to fraction form
    48,547/72,848.80 = 20,465.32/x
  3. Step 3: Cross multiply
    48,547x = 72,848.80 × 20,465.32
  4. Step 4: Simplify right side
    48,547x = 1,490,874,003.62
  5. Step 5: Solve for x
    x = 1,490,874,003.62/48,547
  6. Step 6: Final answer
    x = 30,709.91

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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.