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Finding the Fourth Proportional to 152,038.20, 209,809.26 and 84,970.20

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Solution

The fourth proportional to 152,038.20, 209,809.26 and 84,970.20 is: 117,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,038.20 : 209,809.26 = 84,970.20 : x
  2. Step 2: Convert to fraction form
    152,038.20/209,809.26 = 84,970.20/x
  3. Step 3: Cross multiply
    152,038.20x = 209,809.26 × 84,970.20
  4. Step 4: Simplify right side
    152,038.20x = 17,827,534,784.05
  5. Step 5: Solve for x
    x = 17,827,534,784.05/152,038.20
  6. Step 6: Final answer
    x = 117,256.94

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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.