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Finding the Fourth Proportional to 86,512, 119,386.72 and 46,768

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Solution

The fourth proportional to 86,512, 119,386.72 and 46,768 is: 64,539.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,512 : 119,386.72 = 46,768 : x
  2. Step 2: Convert to fraction form
    86,512/119,386.72 = 46,768/x
  3. Step 3: Cross multiply
    86,512x = 119,386.72 × 46,768
  4. Step 4: Simplify right side
    86,512x = 5,583,478,120.96
  5. Step 5: Solve for x
    x = 5,583,478,120.96/86,512
  6. Step 6: Final answer
    x = 64,539.93

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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.