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Finding the Fourth Proportional to 93,454.87, 128,967.68 and 51,013.40

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Solution

The fourth proportional to 93,454.87, 128,967.68 and 51,013.40 is: 70,398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,454.87 : 128,967.68 = 51,013.40 : x
  2. Step 2: Convert to fraction form
    93,454.87/128,967.68 = 51,013.40/x
  3. Step 3: Cross multiply
    93,454.87x = 128,967.68 × 51,013.40
  4. Step 4: Simplify right side
    93,454.87x = 6,579,080,296.86
  5. Step 5: Solve for x
    x = 6,579,080,296.86/93,454.87
  6. Step 6: Final answer
    x = 70,398.47

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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.