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Finding the Fourth Proportional to 145,412.52, 200,587.32 and 84,970.32

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Solution

The fourth proportional to 145,412.52, 200,587.32 and 84,970.32 is: 117,211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,412.52 : 200,587.32 = 84,970.32 : x
  2. Step 2: Convert to fraction form
    145,412.52/200,587.32 = 84,970.32/x
  3. Step 3: Cross multiply
    145,412.52x = 200,587.32 × 84,970.32
  4. Step 4: Simplify right side
    145,412.52x = 17,043,968,768.34
  5. Step 5: Solve for x
    x = 17,043,968,768.34/145,412.52
  6. Step 6: Final answer
    x = 117,211.15

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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.