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Finding the Fourth Proportional to 105,430.68, 145,497.81 and 57,682.95

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Solution

The fourth proportional to 105,430.68, 145,497.81 and 57,682.95 is: 79,604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,430.68 : 145,497.81 = 57,682.95 : x
  2. Step 2: Convert to fraction form
    105,430.68/145,497.81 = 57,682.95/x
  3. Step 3: Cross multiply
    105,430.68x = 145,497.81 × 57,682.95
  4. Step 4: Simplify right side
    105,430.68x = 8,392,742,899.34
  5. Step 5: Solve for x
    x = 8,392,742,899.34/105,430.68
  6. Step 6: Final answer
    x = 79,604.37

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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.