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Finding the Fourth Proportional to 105,784.96, 145,989.88 and 58,038.40

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Solution

The fourth proportional to 105,784.96, 145,989.88 and 58,038.40 is: 80,096.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,784.96 : 145,989.88 = 58,038.40 : x
  2. Step 2: Convert to fraction form
    105,784.96/145,989.88 = 58,038.40/x
  3. Step 3: Cross multiply
    105,784.96x = 145,989.88 × 58,038.40
  4. Step 4: Simplify right side
    105,784.96x = 8,473,019,051.39
  5. Step 5: Solve for x
    x = 8,473,019,051.39/105,784.96
  6. Step 6: Final answer
    x = 80,096.63

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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.