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Finding the Fourth Proportional to 105,030, 145,062.32 and 76,477.32

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Solution

The fourth proportional to 105,030, 145,062.32 and 76,477.32 is: 105,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,030 : 145,062.32 = 76,477.32 : x
  2. Step 2: Convert to fraction form
    105,030/145,062.32 = 76,477.32/x
  3. Step 3: Cross multiply
    105,030x = 145,062.32 × 76,477.32
  4. Step 4: Simplify right side
    105,030x = 11,093,977,084.20
  5. Step 5: Solve for x
    x = 11,093,977,084.20/105,030
  6. Step 6: Final answer
    x = 105,626.75

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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.