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Finding the Fourth Proportional to 77,706.78, 116,117.81 and 58,346.32

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Solution

The fourth proportional to 77,706.78, 116,117.81 and 58,346.32 is: 87,187.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,706.78 : 116,117.81 = 58,346.32 : x
  2. Step 2: Convert to fraction form
    77,706.78/116,117.81 = 58,346.32/x
  3. Step 3: Cross multiply
    77,706.78x = 116,117.81 × 58,346.32
  4. Step 4: Simplify right side
    77,706.78x = 6,775,046,319.37
  5. Step 5: Solve for x
    x = 6,775,046,319.37/77,706.78
  6. Step 6: Final answer
    x = 87,187.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.