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Finding the Fourth Proportional to 237,643.86, 356,428.53 and 77,718.47

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Solution

The fourth proportional to 237,643.86, 356,428.53 and 77,718.47 is: 116,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,643.86 : 356,428.53 = 77,718.47 : x
  2. Step 2: Convert to fraction form
    237,643.86/356,428.53 = 77,718.47/x
  3. Step 3: Cross multiply
    237,643.86x = 356,428.53 × 77,718.47
  4. Step 4: Simplify right side
    237,643.86x = 27,701,078,233.81
  5. Step 5: Solve for x
    x = 27,701,078,233.81/237,643.86
  6. Step 6: Final answer
    x = 116,565.51

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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.