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Finding the Fourth Proportional to 153,055.98, 211,214.52 and 85,071.74

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Solution

The fourth proportional to 153,055.98, 211,214.52 and 85,071.74 is: 117,397.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,055.98 : 211,214.52 = 85,071.74 : x
  2. Step 2: Convert to fraction form
    153,055.98/211,214.52 = 85,071.74/x
  3. Step 3: Cross multiply
    153,055.98x = 211,214.52 × 85,071.74
  4. Step 4: Simplify right side
    153,055.98x = 17,968,385,673.59
  5. Step 5: Solve for x
    x = 17,968,385,673.59/153,055.98
  6. Step 6: Final answer
    x = 117,397.48

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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.