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Finding the Fourth Proportional to 76,342.50, 105,357.51 and 42,808.50

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Solution

The fourth proportional to 76,342.50, 105,357.51 and 42,808.50 is: 59,078.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,342.50 : 105,357.51 = 42,808.50 : x
  2. Step 2: Convert to fraction form
    76,342.50/105,357.51 = 42,808.50/x
  3. Step 3: Cross multiply
    76,342.50x = 105,357.51 × 42,808.50
  4. Step 4: Simplify right side
    76,342.50x = 4,510,196,966.84
  5. Step 5: Solve for x
    x = 4,510,196,966.84/76,342.50
  6. Step 6: Final answer
    x = 59,078.46

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1.5x scale

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.