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Finding the Fourth Proportional to 75,962, 104,829.72 and 42,430.16

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Solution

The fourth proportional to 75,962, 104,829.72 and 42,430.16 is: 58,554.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,962 : 104,829.72 = 42,430.16 : x
  2. Step 2: Convert to fraction form
    75,962/104,829.72 = 42,430.16/x
  3. Step 3: Cross multiply
    75,962x = 104,829.72 × 42,430.16
  4. Step 4: Simplify right side
    75,962x = 4,447,941,792.36
  5. Step 5: Solve for x
    x = 4,447,941,792.36/75,962
  6. Step 6: Final answer
    x = 58,554.83

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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.