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Finding the Fourth Proportional to 65,430.63, 90,298.94 and 37,138.14

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Solution

The fourth proportional to 65,430.63, 90,298.94 and 37,138.14 is: 51,253.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,430.63 : 90,298.94 = 37,138.14 : x
  2. Step 2: Convert to fraction form
    65,430.63/90,298.94 = 37,138.14/x
  3. Step 3: Cross multiply
    65,430.63x = 90,298.94 × 37,138.14
  4. Step 4: Simplify right side
    65,430.63x = 3,353,534,489.88
  5. Step 5: Solve for x
    x = 3,353,534,489.88/65,430.63
  6. Step 6: Final answer
    x = 51,253.28

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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.