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Finding the Fourth Proportional to 76,970.98, 106,293.31 and 72,777.63

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Solution

The fourth proportional to 76,970.98, 106,293.31 and 72,777.63 is: 100,502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,970.98 : 106,293.31 = 72,777.63 : x
  2. Step 2: Convert to fraction form
    76,970.98/106,293.31 = 72,777.63/x
  3. Step 3: Cross multiply
    76,970.98x = 106,293.31 × 72,777.63
  4. Step 4: Simplify right side
    76,970.98x = 7,735,774,822.77
  5. Step 5: Solve for x
    x = 7,735,774,822.77/76,970.98
  6. Step 6: Final answer
    x = 100,502.49

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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.