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Finding the Fourth Proportional to 103,594.10, 142,908.10 and 65,400.98

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Solution

The fourth proportional to 103,594.10, 142,908.10 and 65,400.98 is: 90,220.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,594.10 : 142,908.10 = 65,400.98 : x
  2. Step 2: Convert to fraction form
    103,594.10/142,908.10 = 65,400.98/x
  3. Step 3: Cross multiply
    103,594.10x = 142,908.10 × 65,400.98
  4. Step 4: Simplify right side
    103,594.10x = 9,346,328,911.90
  5. Step 5: Solve for x
    x = 9,346,328,911.90/103,594.10
  6. Step 6: Final answer
    x = 90,220.67

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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.