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Finding the Fourth Proportional to 105,058.79, 144,980.94 and 57,312.14

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Solution

The fourth proportional to 105,058.79, 144,980.94 and 57,312.14 is: 79,090.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,058.79 : 144,980.94 = 57,312.14 : x
  2. Step 2: Convert to fraction form
    105,058.79/144,980.94 = 57,312.14/x
  3. Step 3: Cross multiply
    105,058.79x = 144,980.94 × 57,312.14
  4. Step 4: Simplify right side
    105,058.79x = 8,309,167,205.71
  5. Step 5: Solve for x
    x = 8,309,167,205.71/105,058.79
  6. Step 6: Final answer
    x = 79,090.65

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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.