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Finding the Fourth Proportional to 76,237.88, 105,208.27 and 42,703.88

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Solution

The fourth proportional to 76,237.88, 105,208.27 and 42,703.88 is: 58,931.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,237.88 : 105,208.27 = 42,703.88 : x
  2. Step 2: Convert to fraction form
    76,237.88/105,208.27 = 42,703.88/x
  3. Step 3: Cross multiply
    76,237.88x = 105,208.27 × 42,703.88
  4. Step 4: Simplify right side
    76,237.88x = 4,492,800,704.29
  5. Step 5: Solve for x
    x = 4,492,800,704.29/76,237.88
  6. Step 6: Final answer
    x = 58,931.35

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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.