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Finding the Fourth Proportional to 86,642, 119,566.32 and 46,898

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Solution

The fourth proportional to 86,642, 119,566.32 and 46,898 is: 64,719.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,642 : 119,566.32 = 46,898 : x
  2. Step 2: Convert to fraction form
    86,642/119,566.32 = 46,898/x
  3. Step 3: Cross multiply
    86,642x = 119,566.32 × 46,898
  4. Step 4: Simplify right side
    86,642x = 5,607,421,275.36
  5. Step 5: Solve for x
    x = 5,607,421,275.36/86,642
  6. Step 6: Final answer
    x = 64,719.43

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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.