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Finding the Fourth Proportional to 105,637.84, 145,783.60 and 57,894.10

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Solution

The fourth proportional to 105,637.84, 145,783.60 and 57,894.10 is: 79,895.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,637.84 : 145,783.60 = 57,894.10 : x
  2. Step 2: Convert to fraction form
    105,637.84/145,783.60 = 57,894.10/x
  3. Step 3: Cross multiply
    105,637.84x = 145,783.60 × 57,894.10
  4. Step 4: Simplify right side
    105,637.84x = 8,440,010,316.76
  5. Step 5: Solve for x
    x = 8,440,010,316.76/105,637.84
  6. Step 6: Final answer
    x = 79,895.71

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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.