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Finding the Fourth Proportional to 61,055.72, 91,509.75 and 31,457.40

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Solution

The fourth proportional to 61,055.72, 91,509.75 and 31,457.40 is: 47,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,055.72 : 91,509.75 = 31,457.40 : x
  2. Step 2: Convert to fraction form
    61,055.72/91,509.75 = 31,457.40/x
  3. Step 3: Cross multiply
    61,055.72x = 91,509.75 × 31,457.40
  4. Step 4: Simplify right side
    61,055.72x = 2,878,658,809.65
  5. Step 5: Solve for x
    x = 2,878,658,809.65/61,055.72
  6. Step 6: Final answer
    x = 47,148.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.