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Finding the Fourth Proportional to 189,670, 284,541.84 and 56,547.28

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Solution

The fourth proportional to 189,670, 284,541.84 and 56,547.28 is: 84,831.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,670 : 284,541.84 = 56,547.28 : x
  2. Step 2: Convert to fraction form
    189,670/284,541.84 = 56,547.28/x
  3. Step 3: Cross multiply
    189,670x = 284,541.84 × 56,547.28
  4. Step 4: Simplify right side
    189,670x = 16,090,067,098.20
  5. Step 5: Solve for x
    x = 16,090,067,098.20/189,670
  6. Step 6: Final answer
    x = 84,831.90

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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.