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Finding the Fourth Proportional to 93,130.16, 128,519.62 and 50,689

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Solution

The fourth proportional to 93,130.16, 128,519.62 and 50,689 is: 69,950.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,130.16 : 128,519.62 = 50,689 : x
  2. Step 2: Convert to fraction form
    93,130.16/128,519.62 = 50,689/x
  3. Step 3: Cross multiply
    93,130.16x = 128,519.62 × 50,689
  4. Step 4: Simplify right side
    93,130.16x = 6,514,531,018.18
  5. Step 5: Solve for x
    x = 6,514,531,018.18/93,130.16
  6. Step 6: Final answer
    x = 69,950.82

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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.