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Finding the Fourth Proportional to 105,108.99, 145,046.75 and 59,783.55

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Solution

The fourth proportional to 105,108.99, 145,046.75 and 59,783.55 is: 82,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,108.99 : 145,046.75 = 59,783.55 : x
  2. Step 2: Convert to fraction form
    105,108.99/145,046.75 = 59,783.55/x
  3. Step 3: Cross multiply
    105,108.99x = 145,046.75 × 59,783.55
  4. Step 4: Simplify right side
    105,108.99x = 8,671,409,332.04
  5. Step 5: Solve for x
    x = 8,671,409,332.04/105,108.99
  6. Step 6: Final answer
    x = 82,499.22

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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.