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Finding the Fourth Proportional to 70,509.45, 105,858.03 and 40,948.50

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Solution

The fourth proportional to 70,509.45, 105,858.03 and 40,948.50 is: 61,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,509.45 : 105,858.03 = 40,948.50 : x
  2. Step 2: Convert to fraction form
    70,509.45/105,858.03 = 40,948.50/x
  3. Step 3: Cross multiply
    70,509.45x = 105,858.03 × 40,948.50
  4. Step 4: Simplify right side
    70,509.45x = 4,334,727,541.46
  5. Step 5: Solve for x
    x = 4,334,727,541.46/70,509.45
  6. Step 6: Final answer
    x = 61,477.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.