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Finding the Fourth Proportional to 76,347, 105,359.40 and 46,539

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Solution

The fourth proportional to 76,347, 105,359.40 and 46,539 is: 64,224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,347 : 105,359.40 = 46,539 : x
  2. Step 2: Convert to fraction form
    76,347/105,359.40 = 46,539/x
  3. Step 3: Cross multiply
    76,347x = 105,359.40 × 46,539
  4. Step 4: Simplify right side
    76,347x = 4,903,321,116.60
  5. Step 5: Solve for x
    x = 4,903,321,116.60/76,347
  6. Step 6: Final answer
    x = 64,224.15

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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.