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Finding the Fourth Proportional to 76,898.16, 106,130.16 and 45,077.40

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Solution

The fourth proportional to 76,898.16, 106,130.16 and 45,077.40 is: 62,213.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,898.16 : 106,130.16 = 45,077.40 : x
  2. Step 2: Convert to fraction form
    76,898.16/106,130.16 = 45,077.40/x
  3. Step 3: Cross multiply
    76,898.16x = 106,130.16 × 45,077.40
  4. Step 4: Simplify right side
    76,898.16x = 4,784,071,674.38
  5. Step 5: Solve for x
    x = 4,784,071,674.38/76,898.16
  6. Step 6: Final answer
    x = 62,213.08

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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.