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Finding the Fourth Proportional to 105,405.58, 145,457.80 and 57,658.51

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Solution

The fourth proportional to 105,405.58, 145,457.80 and 57,658.51 is: 79,567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,405.58 : 145,457.80 = 57,658.51 : x
  2. Step 2: Convert to fraction form
    105,405.58/145,457.80 = 57,658.51/x
  3. Step 3: Cross multiply
    105,405.58x = 145,457.80 × 57,658.51
  4. Step 4: Simplify right side
    105,405.58x = 8,386,880,015.88
  5. Step 5: Solve for x
    x = 8,386,880,015.88/105,405.58
  6. Step 6: Final answer
    x = 79,567.70

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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.