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Finding the Fourth Proportional to 77,943, 116,867.65 and 30,501.51

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Solution

The fourth proportional to 77,943, 116,867.65 and 30,501.51 is: 45,733.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,943 : 116,867.65 = 30,501.51 : x
  2. Step 2: Convert to fraction form
    77,943/116,867.65 = 30,501.51/x
  3. Step 3: Cross multiply
    77,943x = 116,867.65 × 30,501.51
  4. Step 4: Simplify right side
    77,943x = 3,564,639,795.15
  5. Step 5: Solve for x
    x = 3,564,639,795.15/77,943
  6. Step 6: Final answer
    x = 45,733.93

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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.