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Finding the Fourth Proportional to 86,730, 119,688.12 and 46,986

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Solution

The fourth proportional to 86,730, 119,688.12 and 46,986 is: 64,841.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,730 : 119,688.12 = 46,986 : x
  2. Step 2: Convert to fraction form
    86,730/119,688.12 = 46,986/x
  3. Step 3: Cross multiply
    86,730x = 119,688.12 × 46,986
  4. Step 4: Simplify right side
    86,730x = 5,623,666,006.32
  5. Step 5: Solve for x
    x = 5,623,666,006.32/86,730
  6. Step 6: Final answer
    x = 64,841.07

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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.