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Finding the Fourth Proportional to 76,801.30, 105,972.95 and 42,802.34

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Solution

The fourth proportional to 76,801.30, 105,972.95 and 42,802.34 is: 59,060.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,801.30 : 105,972.95 = 42,802.34 : x
  2. Step 2: Convert to fraction form
    76,801.30/105,972.95 = 42,802.34/x
  3. Step 3: Cross multiply
    76,801.30x = 105,972.95 × 42,802.34
  4. Step 4: Simplify right side
    76,801.30x = 4,535,889,813.84
  5. Step 5: Solve for x
    x = 4,535,889,813.84/76,801.30
  6. Step 6: Final answer
    x = 59,060.07

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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.